Hva er $$\sqrt[3]{ \left( \dfrac{a^{\frac12} \times b^{-\frac23}}{a^{-\frac14}\times b^{\frac14}}\right)^{\mkern-8mu2}}$$?

$$\dfrac{\sqrt{a}}{\sqrt[18]{b^{11}}}$$

$$\dfrac{a^{\frac12}}{b^{\frac{18}{11}}}$$

$$\dfrac{\sqrt{a}}{\sqrt[11]{b^{18}}}$$

$$\dfrac{a^{\frac12}}{b^{\frac58}}$$

Hva er $$\dfrac{\sqrt[3]{a^{-2}}}{a^{-5}} \times \dfrac{a^{2} \times \sqrt[3]{b^{3}}}{c^{-1} \times \sqrt[4]{b^{-3}}} $$?

$$a^{\frac{19}{3}} \times b^{\frac{7}{4}} \times c$$

$$a^{-\frac{19}{3}} \times b^{\frac{7}{4}} \times c$$

$$a^{\frac{5}{3}} \times b^{\frac{7}{4}} \times c$$

$$a^{-\frac{19}{3}} \times b^{\frac{7}{4}} \times c^{-1}$$

$$a^{\frac{19}{3}} \times b^{\frac{15}{4}} \times c^{-1}$$

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Regn ut, skriv svaret som potens dersom det er mulig.

a): $\frac{\sqrt[10]{2^{- 3}} \cdot \sqrt[5]{2^{3}}}{\sqrt[5]{2^{4}}}$
b): $\frac{\sqrt[3]{4^{2}} \cdot {(\sqrt[2]{2^{3}})}^{- 1}}{\sqrt[3]{2} \cdot \sqrt{4}}$
c): $\frac{\sqrt[3]{3}}{\sqrt[3]{{(\frac{1}{3})}^{2}}}$

Regn ut, skriv svaret som potens dersom det er mulig.

a): $\frac{\sqrt[10]{b^{3}} \cdot \sqrt[5]{b^{- 3}}}{\sqrt[5]{b^{- 4}}}$
b): $\frac{\sqrt[3]{a^{2}} \cdot {(\sqrt[2]{b^{3}})}^{- 1}}{\sqrt[3]{a} \cdot \sqrt{b}}$
c): $\frac{\sqrt[3]{x}}{\sqrt[3]{{(\frac{x}{y})}^{2}}} \cdot \sqrt[3]{{(\frac{y^{2}}{x})}^{2}}$

Du kan finne fasit her.

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